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Finding the Third Proportional to 2,671 and 5,795

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Solution

The third proportional to 2,671 and 5,795 is: 12,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671 : 5,795 = 5,795 : x
  2. Step 2: Convert to fraction form
    2,671/5,795 = 5,795/x
  3. Step 3: Cross multiply
    2,671x = 5,795 × 5,795
  4. Step 4: Simplify right side
    2,671x = 33,582,025
  5. Step 5: Solve for x
    x = 33,582,025/2,671
  6. Step 6: Final answer
    x = 12,572.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.